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Finding the Fourth Proportional to 2,636.80, 3,641.20 and 2,116.64

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Solution

The fourth proportional to 2,636.80, 3,641.20 and 2,116.64 is: 2,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.80 : 3,641.20 = 2,116.64 : x
  2. Step 2: Convert to fraction form
    2,636.80/3,641.20 = 2,116.64/x
  3. Step 3: Cross multiply
    2,636.80x = 3,641.20 × 2,116.64
  4. Step 4: Simplify right side
    2,636.80x = 7,707,109.57
  5. Step 5: Solve for x
    x = 7,707,109.57/2,636.80
  6. Step 6: Final answer
    x = 2,922.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.